Tools

secondary level

Zeta(3) in arithmetic and geometry

Zeta(3) in arithmetic and geometry

April 29, 2015 - 04:30
- April 29, 2015 - 05:30

Frank Calegari, Northwestern

Fine Hall 314

Euler proved in 1735 that zeta(2) = $\pi^2 /6$, and also computed the special values of zeta(n) at all positive even integers. Yet it took almost another 250 years for Apery proved that zeta(3) was irrational. In this talk, we shall talk about zeta(3) as well as its p-adic version, and the connection of these numbers to both arithmetic and geometry.